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Stability of Closed Timelike Geodesics.
, 2008
"... The existence and stability under linear perturbations of closed timelike geodesics (CTG) in BonnorWard spacetime is studied in some detail. Regions where the CTG exist and are linearly stable are exhibited. In 1949 Gödel found a solution to the Einstein field equation with nonzero cosmological con ..."
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The existence and stability under linear perturbations of closed timelike geodesics (CTG) in BonnorWard spacetime is studied in some detail. Regions where the CTG exist and are linearly stable are exhibited. In 1949 Gödel found a solution to the Einstein field equation with nonzero cosmological
IN THE PRESENCE OF CLOSED TIMELIKE CURVES
, 1997
"... A closed timelike curve (CTC) is a closed loop in spacetime whose tangent vector is everywhere timelike. A spacetime which contains CTC’s will allow time travel. One of these spacetimes is Grant space. It can be constructed from Minkowski space by imposing periodic boundary conditions in spatial dir ..."
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A closed timelike curve (CTC) is a closed loop in spacetime whose tangent vector is everywhere timelike. A spacetime which contains CTC’s will allow time travel. One of these spacetimes is Grant space. It can be constructed from Minkowski space by imposing periodic boundary conditions in spatial
Time, closed timelike curves and causality
 The Nature of Time: Geometry, Physics and Perception, NATO Science Series II. Mathematics, Physics and Chemistry
, 2003
"... Abstract. General Relativity is contaminated with nontrivial geometries which generate closed timelike curves. These apparently violate causality, producing timetravel paradoxes. We shall briefly discuss these geometries and analyze some of their physical aspects. 1. ..."
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Cited by 2 (0 self)
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Abstract. General Relativity is contaminated with nontrivial geometries which generate closed timelike curves. These apparently violate causality, producing timetravel paradoxes. We shall briefly discuss these geometries and analyze some of their physical aspects. 1.
Experimental simulation of closed timelike curves
"... Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein’s field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime these paradoxes can be resolved, leaving closed timelike curves ..."
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Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein’s field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime these paradoxes can be resolved, leaving closed timelike
The Taming of Closed Time–like Curves
"... We formulate QFT on a R 1,d /Z2 orbifold, in a manner which is invariant under the Z2 time and space reversal. This is a background with closed timelike curves. It is also relevant for the elliptic interpretation of de Sitter space. We calculate the oneloop vacuum expectation value of the stress t ..."
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Cited by 12 (1 self)
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We formulate QFT on a R 1,d /Z2 orbifold, in a manner which is invariant under the Z2 time and space reversal. This is a background with closed timelike curves. It is also relevant for the elliptic interpretation of de Sitter space. We calculate the oneloop vacuum expectation value of the stress
Closed timelike curves in general relativity
, 2008
"... Many solutions of Einstein’s field equations contain closed timelike curves (CTC). Some of these solutions refer to ordinary materials in situations which might occur in the laboratory, or in astrophysics. It is argued that, in default of a reasonable interpretation of CTC, general relativity does n ..."
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Many solutions of Einstein’s field equations contain closed timelike curves (CTC). Some of these solutions refer to ordinary materials in situations which might occur in the laboratory, or in astrophysics. It is argued that, in default of a reasonable interpretation of CTC, general relativity does
Closed Timelike Curves in the Galileon Model
, 2013
"... It has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. In this note we present a solution of these models which also admits closed timelike curves (CTCs). We observe that CTCs only arise when, according to each observer, there exists so ..."
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Cited by 3 (0 self)
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It has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. In this note we present a solution of these models which also admits closed timelike curves (CTCs). We observe that CTCs only arise when, according to each observer, there exists
On the existence of closed timelike geodesics in compact spacetimes
 II, Math. Z
"... Abstract. Let M be a compact spacetime which admits a regular globally hyperbolic covering, and C a nontrivial free timelike homotopy class of closed timelike curves in M. We prove that C contains a longest curve (which must be a closed timelike geodesic) if and only if the timelike injectivity radi ..."
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Cited by 6 (1 self)
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Abstract. Let M be a compact spacetime which admits a regular globally hyperbolic covering, and C a nontrivial free timelike homotopy class of closed timelike curves in M. We prove that C contains a longest curve (which must be a closed timelike geodesic) if and only if the timelike injectivity
Cosmic String Lensing and Closed Timelike Curves
, 2008
"... In an analysis of the gravitational lensing by two relativistic cosmic strings, we argue that the formation of closed timelike curves proposed by Gott is unstable in the presence of particles (e.g. the cosmic microwave background radiation). Due to the attractorlike behavior of the closed timelik ..."
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In an analysis of the gravitational lensing by two relativistic cosmic strings, we argue that the formation of closed timelike curves proposed by Gott is unstable in the presence of particles (e.g. the cosmic microwave background radiation). Due to the attractorlike behavior of the closed timelike
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